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Finding the Fourth Proportional to 9,713.84, 13,405.05 and 5,522.09

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Solution

The fourth proportional to 9,713.84, 13,405.05 and 5,522.09 is: 7,620.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.84 : 13,405.05 = 5,522.09 : x
  2. Step 2: Convert to fraction form
    9,713.84/13,405.05 = 5,522.09/x
  3. Step 3: Cross multiply
    9,713.84x = 13,405.05 × 5,522.09
  4. Step 4: Simplify right side
    9,713.84x = 74,023,825.53
  5. Step 5: Solve for x
    x = 74,023,825.53/9,713.84
  6. Step 6: Final answer
    x = 7,620.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.